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Finding the Fourth Proportional to 591,298.53, 816,021.59 and 361,783.95

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Solution

The fourth proportional to 591,298.53, 816,021.59 and 361,783.95 is: 499,279.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,298.53 : 816,021.59 = 361,783.95 : x
  2. Step 2: Convert to fraction form
    591,298.53/816,021.59 = 361,783.95/x
  3. Step 3: Cross multiply
    591,298.53x = 816,021.59 × 361,783.95
  4. Step 4: Simplify right side
    591,298.53x = 295,223,514,115.48
  5. Step 5: Solve for x
    x = 295,223,514,115.48/591,298.53
  6. Step 6: Final answer
    x = 499,279.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.